Mortality and tree‐size distributions in natural mixed‐age forests

Summary 1Tree-size distributions are changing in many natural forests around the world, and it is important to understand the underlying processes that are causing these changes. Here we use a classic conceptual framework – the shifting mosaic of patches model – to explore the ways in which competitive thinning and disturbance influence tree-size distributions, and to consider the effects of temporal variability in disturbance frequency on the size structure of forests. 2We monitored 250 stands of Nothofagus solandri var. cliffortiodes (mountain beech), randomly distributed over 9000 hectares, for 19 years. Mountain beech is a light-demanding species that forms monospecific forests in New Zealand mountains. For the purposes of our model, we assumed that each stand functions as an even-aged population: it is initiated by a pulse of recruitment, undergoes competitive thinning as it matures, and is eventually destroyed by a disturbance event. The tree-size distribution of the whole forest is driven partly by the frequency and temporal patchiness of disturbance events and partly by competitive processes within the constituent stands. 3Temporal changes in stem density and mean tree size were observed to be remarkably similar in all young stands, indicating that a consistent packing rule operates during this phase of stand development. A popular idea in the self-thinning literature is that the maintenance of constant leaf area index (LAI) provides the mechanism for this packing rule, but our analyses suggest that LAI increased by about 30% during the thinning phase. We use leaf economic theory to develop a new packing rule based on light interception, and argue that LAI increases with stand age because of changes in canopy organisation. 4Smaller trees were significantly more likely to die than larger trees within the young stands. Tree-diameter distributions within young stands were left skewed but those of older populations were normally distributed. These observations are consistent with asymmetric competition winnowing out small, suppressed trees from young stands but having less effect in older stands. 5Large-scale disturbances created gaps of sufficient size to allow mass recruitment of seedlings in about 0.8% of stands each year. Older stands were most susceptible to such large-scale disturbance, but the trend was weak. 6The diameter-distribution of the whole Nothofagus forest was found to be approximately exponential in form. Simulation models only produced realistic diameter distributions when competitive packing rules and disturbance were included. Therefore, the shifting mosaic model provides a general framework for understand the ways in which these mortality processes determine forest size structure. 7The diameter distribution of the forest was not in equilibrium over the 19-year study.  Using simulation models, we show that temporal variability in disturbance frequency can generate enormous deviations in tree-diameter distributions away from the long-term mean, leading us to conclude that modern-day disequilibrium in natural forests may be the legacy of past disturbance events.

[1]  M Franco,et al.  The interspecific mass-density relationship and plant geometry. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[2]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[3]  P. Harcombe,et al.  Spatial and temporal patterns in stand structure, biomass, growth, and mortality in a monospecific Nothofagus solandri var. cliffortioides (Hook. f.) Poole forest in New Zealand. , 1997 .

[4]  James H. Brown,et al.  Quarter-power allometric scaling in vascular plants: functional basis and ecological consequences , 2000 .

[5]  R. Kobe,et al.  Intraspecific Variation in Sapling Mortality and Growth Predicts Geographic Variation in Forest Composition , 1996 .

[6]  Steward T. A. Pickett,et al.  Chapter 2 – Disturbance Regimes in Temperate Forests , 1985 .

[7]  D. C. West,et al.  Canopy-understory interaction effects on forest population structure , 1975 .

[8]  G. Likens,et al.  Pattern and process in a forested ecosystem. , 1979 .

[9]  E. David Ford,et al.  Improving competition representation in theoretical models of self‐thinning: a critical review , 2005 .

[10]  J. Wardle,et al.  Dieback in New Zealand Nothofagus Forests , 1983 .

[11]  James R. Runkle,et al.  PATTERNS OF DISTURBANCE IN SOME OLD-GROWTH MESIC FORESTS OF EASTERN NORTH AMERICA' , 1982 .

[12]  T. Kohyama Simulating Stationary Size Distribution of Trees in Rain Forests , 1991 .

[13]  H. Shugart A Theory of Forest Dynamics , 1984 .

[14]  James R. Runkle,et al.  Gap dynamics in an Ohio Acer–Fagus forest and speculations on the geography of disturbance , 1990 .

[15]  C. Lorimer Relative Effects of Small and Large Disturbances on Temperate Hardwood Forest Structure , 1989 .

[16]  D. Weller Will the Real Self-Thinning Rule Please Stand Up?--A Reply to Osawa and Sugita , 1990 .

[17]  G. Parker,et al.  Tree dynamics in an old-growth, deciduous forest , 1985 .

[18]  Bruce C. Larson,et al.  Forest Stand Dynamics , 1990 .

[19]  Qinfeng Guo,et al.  Estimating effects of constraints on plant performance with regression quantiles , 2000 .

[20]  David Kenfack,et al.  Comparing tropical forest tree size distributions with the predictions of metabolic ecology and equilibrium models. , 2006, Ecology letters.

[21]  Maurizio Mencuccini,et al.  The ecological significance of long-distance water transport: short-term regulation, long-term acclimation and the hydraulic costs of stature across plant life forms , 2003 .

[22]  M. G. Ryan,et al.  Evidence that hydraulic conductance limits photosynthesis in old Pinus ponderosa trees. , 1999, Tree physiology.

[23]  D. Coomes,et al.  IMPACTS OF ROOT COMPETITION IN FORESTS AND WOODLANDS: A THEORETICAL FRAMEWORK AND REVIEW OF EXPERIMENTS , 2000 .

[24]  David R. Foster,et al.  Species and stand response to catastrophic wind in central New England, U.S.A , 1988 .

[25]  D. A. King,et al.  Tree form, height growth, and susceptibility to wind damage in Acer saccharum , 1986 .

[26]  Do mixed-species mixed-size indigenous forests also follow the self-thinning line? , 2001 .

[27]  P. Harcombe,et al.  Tree Life Tables , 1987 .

[28]  James S. Clark,et al.  Integration of ecological levels: individual plant growth, population mortality and ecosystem processes. , 1990 .

[29]  F R Adler,et al.  A model of self-thinning through local competition. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[30]  R. Allen,et al.  The influence of N addition on nutrient content, leaf carbon isotope ratio, and productivity in a Nothofagus forest during stand development , 2004 .

[31]  Jacob Weiner,et al.  Size variability and competition in plant monocultures , 1986 .

[32]  Shin‐ichi Yamamoto,et al.  Forest canopy and community dynamics in a temperate old‐growth evergreen broad‐leaved forest, south‐western Japan: a 7‐year study of a 4‐ha plot , 2001 .

[33]  J. Wardle The New Zealand beeches: Ecology, utilisation, and management , 1984 .

[34]  Mark Westoby,et al.  The Self-Thinning Rule , 1984 .

[35]  J. Terborgh,et al.  Concerted changes in tropical forest structure and dynamics: evidence from 50 South American long-term plots. , 2004, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[36]  Thomas J. Givnish,et al.  Adaptation to Sun and Shade: a Whole-Plant Perspective , 1988 .

[37]  C. Lorimer,et al.  Variation in canopy gap formation among developmental stages of northern hardwood stands , 1996 .

[38]  Karl J. Niklas,et al.  Invariant scaling relations across tree-dominated communities , 2001, Nature.

[39]  T. Hara A stochastic model and the moment dynamics of the growth and size distribution in plant populations , 1984 .

[40]  T. Kohyama Stand dynamics in a primary warm-temperate rain forest analyzed by the diffusion equation , 1987, The botanical magazine = Shokubutsu-gaku-zasshi.

[41]  David A. Coomes,et al.  Disturbances prevent stem size‐density distributions in natural forests from following scaling relationships , 2003 .

[42]  James S. Clark,et al.  Ecological disturbance as a renewal process: theory and application to fire history , 1989 .

[43]  D. Hollinger Canopy organization and foliage photosynthetic capacity in a broad-leaved evergreen montane forest , 1989 .

[44]  W. Larcher Physiological Plant Ecology , 1977 .

[45]  Charles D. Canham,et al.  Interspecific variation in susceptibility to windthrow as a function of tree size and storm severity for northern temperate tree species , 2001 .

[46]  R. Rand,et al.  Size‐dependent species richness: trends within plant communities and across latitude , 2003 .

[47]  G. H. Stewart,et al.  Forest dynamics in Westland, New Zealand: the importance of large, infrequent earthquake‐induced disturbance , 2001 .

[48]  Richard H. Rand,et al.  Tree size frequency distributions, plant density, age and community disturbance , 2003 .

[49]  O. Phillips,et al.  Increasing Turnover Through Time in Tropical Forests , 1994, Science.

[50]  A. Watt,et al.  Pattern and process in the plant community , 1947 .

[51]  P. Bellingham,et al.  IMMEDIATE DAMAGE BY AN EARTHQUAKE TO A TEMPERATE MONTANE FOREST , 1999 .

[52]  B. Enquist Universal scaling in tree and vascular plant allometry: toward a general quantitative theory linking plant form and function from cells to ecosystems. , 2002, Tree physiology.

[53]  Norman L. Christensen,et al.  Population Dynamics in Loblolly Pine Stands: Changes in Skewness and Size Inequality , 1989 .

[54]  D. Coomes,et al.  Scaling of tree vascular transport systems along gradients of nutrient supply and altitude , 2007, Biology Letters.

[55]  P. G. Jarvis,et al.  Productivity of temperate de-ciduous and evergreen forests , 1983 .

[56]  J. White,et al.  CORRELATED CHANGES IN PLANT SIZE AND NUMBER IN PLANT POPULATIONS , 1970 .

[57]  J. Weiner,et al.  Asymmetric competition in plant populations. , 1990, Trends in ecology & evolution.

[58]  W. Keeton,et al.  Disturbances and structural development of natural forest ecosystems with silvicultural implications, using Douglas-fir forests as an example , 2002 .

[59]  James H. Brown,et al.  Allometric scaling of plant energetics and population density , 1998, Nature.

[60]  E. Nordheim,et al.  Tree mortality rates and longevity in mature and old‐growth hemlock‐hardwood forests , 2001 .

[61]  Michael G. Ryan,et al.  Age-Related Decline in Forest Productivity: Pattern and Process , 1997 .

[62]  G. Goldstein,et al.  Environmental and physiological regulation of transpiration in tropical forest gap species: the influence of boundary layer and hydraulic properties , 1995, Oecologia.

[63]  Danielle J. Marceau,et al.  Quantifying gap dynamics at the patch mosaic level using a spatially-explicit model of a northern hardwood forest ecosystem , 2001 .

[64]  J. Clark Disturbance and Population Structure on the Shifting Mosaic Landscape , 1991 .

[65]  Self-thinning of plant populations from a dynamic viewpoint , 2004 .

[66]  Allometric Theory Explains Self‐Thinning Relationships of Mountain Beech and Red Pine , 1993 .

[67]  P. Marks,et al.  STAND STRUCTURE AND ALLOMETRY OF TREES DURING SELF-THINNING OF PURE STANDS , 1978 .

[68]  Frederick W. Smith,et al.  Relation between size and density in developing stands: A description and possible mechanisms , 1984 .

[69]  J. R. Runkle CANOPY TREE TURNOVER IN OLD‐GROWTH MESIC FORESTS OF EASTERN NORTH AMERICA , 2000 .

[70]  M. Begon,et al.  Ecology: Individuals, Populations and Communities, 3rd edn. , 1997 .

[71]  E. Suzuki,et al.  Age structure and regeneration of old growthCryptomeria japonica forests on Yakushima Island , 1987, The botanical magazine = Shokubutsu-gaku-zasshi.